{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: Recompiling stale cache file /home/ali/.julia/compiled/v1.2/SetPyPlot/Rkvls.ji for SetPyPlot [d6c70c59-9b85-50b1-926c-19fb5cf24e7d]\n",
      "└ @ Base loading.jl:1240\n",
      "┌ Warning: Package SetPyPlot does not have PyPlot in its dependencies:\n",
      "│ - If you have SetPyPlot checked out for development and have\n",
      "│   added PyPlot as a dependency but haven't updated your primary\n",
      "│   environment's manifest file, try `Pkg.resolve()`.\n",
      "│ - Otherwise you may need to report an issue with SetPyPlot\n",
      "└ Loading PyPlot into SetPyPlot from project dependency, future warnings for SetPyPlot are suppressed.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Main.FractionalFlow"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# load the package\n",
    "include(\"../FractionalFlow/FractionalFlow.jl\")\n",
    "using PyPlot, SetPyPlot, Dierckx, Statistics, NLopt\n",
    "import Calculus\n",
    "import GR\n",
    "FF = FractionalFlow"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Water-flooding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f69c7852588>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define the problem\n",
    "# relative permeabilities\n",
    "rel_perms = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "    swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "# FF.visualize(rel_perms)\n",
    "# define the fluids\n",
    "fluids = FF.oil_water_fluids(mu_water=1e-3, mu_oil=1e-3)\n",
    "\n",
    "# define the fractional flow functions\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "# visualize the fractional flow\n",
    "# FF.visualize(rel_perms, fluids, label=\"lowsal\")\n",
    "# tight_layout()\n",
    "ut = 1.15e-5\n",
    "phi = 0.3\n",
    "L = 0.15\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=5, \n",
    "    p_back=1e5, sw_init=0.2, sw_inj=1.0, rel_perms=rel_perms)\n",
    "core_props = FF.core_properties()\n",
    "wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "sw_tmp = FF.linspace(0,1,100)\n",
    "\n",
    "FF.visualize(wf_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress: 100%|█████████████████████████████████████████| Time: 0:00:08\u001b[39m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([0.0, 26.086956521739133, 26.607186199524936, 27.135507511278284, 27.67240634320934, 28.218400516364337, 28.774042266160855, 29.33992094890637, 29.91666599949902, 30.50495016746274  …  5937.3177179224285, 6564.964864736294, 7310.971927867449, 8207.808975006947, 9300.41617919656, 10652.48751343839, 12356.809746482852, 14552.934447722162, 17458.74357803524, 19565.217391304348], [0.0, 0.006666666666666668, 0.006799614250989706, 0.006934629697326673, 0.007071837176597942, 0.0072113690208486635, 0.007353366356907773, 0.0074979797980538505, 0.0076453701998719726, 0.0077957094872404785  …  1.5173145279135094, 1.6777132432103863, 1.868359492677237, 2.0975511825017756, 2.3767730235724542, 2.7223023645453663, 3.1578513796567287, 3.7190832477512195, 4.461678914386783, 5.0], [0.0, 0.008307692307685011, 0.008473365451226038, 0.008641615468969048, 0.008812597096983947, 0.008986475241357903, 0.009163425767831633, 0.009343636363721174, 0.009527307479832943, 0.009714653361015308  …  0.7125107850115477, 0.7155383707111747, 0.7185246684648909, 0.7214619180623228, 0.7243419625168532, 0.7271559553398653, 0.7298940269376648, 0.7325448834514464, 0.7350953087125995, 0.7365900794227], [2242.5, 2305.734685888674, 2307.355536004805, 2308.986310678418, 2310.62636906479, 2312.2751296576316, 2313.9320886554488, 2315.596840519138, 2317.2691006082314, 2318.9487302833586  …  4681.681946972254, 4649.764171730654, 4618.228540283337, 4587.175690185526, 4556.708717095651, 4526.936048760283, 4497.974758699333, 4469.954585332351, 4443.022951688239, 4427.254353064796], [0.0, 0.003, 0.006, 0.009000000000000001, 0.012, 0.015, 0.018000000000000002, 0.021, 0.024, 0.027  …  0.123, 0.126, 0.129, 0.132, 0.135, 0.138, 0.14100000000000001, 0.14400000000000002, 0.147, 0.15], [1.0, 0.7989258599876767, 0.7984393358425793, 0.7979800290450736, 0.797534952877075, 0.7970991749018759, 0.7966702153052446, 0.7962466292295635, 0.7958274918248032, 0.795412170534303  …  0.7831889142012902, 0.7828304209027822, 0.7824730746993335, 0.782116860602225, 0.7817617640725233, 0.7814077709896464, 0.7810548676244633, 0.7807030406155645, 0.780352276944878, 0.7801771593382116], [1.0, 1.0000000000001026, 0.9999999999999544, 0.999999999999509, 0.9999999999992694, 0.9999999999992175, 0.9999999999990471, 0.9999999999988729, 0.9999999999988551, 0.9999999999990851  …  0.9999999999994613, 0.9999999999992298, 0.999999999999132, 0.9999999999992364, 0.9999999999993301, 0.9999999999994139, 0.9999999999993046, 0.9999999999991385, 0.9999999999992722, 0.9999999999993806], [0.0, -1.711739514045568e-108, -1.746569850414833e-108, -1.782673111283491e-108, -1.820133500718822e-108, -1.8590428523785183e-108, -1.8995014747665467e-108, -1.9416191078534836e-108, -1.9855160081927466e-108, -2.0313241826985282e-108  …  0.9999985007861333, 0.9999998363369871, 0.9999999844679713, 0.9999999987771271, 0.9999999999139335, 0.999999999995234, 1.0000000000008638, 1.0000000000007336, 1.000000000000335, 0.9999999999993805])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_sec, pv, rec_fact, dp_core, x, sw_face, c_face, c_out_sal=FF.water_flood_numeric(core_props, fluids, rel_perms, core_flood, Nx=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# synthetic experimental data\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 800x500 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(Figure(PyObject <Figure size 800x500 with 2 Axes>), PyObject <matplotlib.axes._subplots.AxesSubplot object at 0x7f69c76eeba8>, PyObject <matplotlib.axes._subplots.AxesSubplot object at 0x7f69c9dbdf60>)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_exp_dp = wf_res.dp_time[:,1]\n",
    "dp_exp = wf_res.dp_time[:,2]\n",
    "t_exp_R = wf_res.recovery_time[:,1]\n",
    "R_exp = wf_res.recovery_time[:,2]\n",
    "plotyy(t_exp_R, R_exp, t_exp_dp, dp_exp, fig_size = [8,5], x_label=\"time [s]\", y1_label=\"R [-]\", y2_label=\"dP [Pa]\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f69c36a37b8>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(t_exp_dp, dp_exp, \"o\", t_sec, dp_core)\n",
    "legend([\"Analytical\", \"Numerical\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# define the objective function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "exp_data(Real[0.0, 98.31767533318768, 196.63535066637536, 294.953025999563, 393.2707013327507, 491.58837666593837, 589.906051999126, 688.2237273323137, 786.5414026655014, 884.8590779986891  …  18680.35831330566, 18778.675988638846, 18876.993663972033, 18975.311339305223, 19073.62901463841, 19171.946689971595, 19270.264365304785, 19368.58204063797, 19466.89971597116, 19565.217391304348], Real[2242.5, 2382.128775673707, 2512.9953521661364, 2643.8423673312104, 2792.5201557768337, 2923.3335362920134, 3054.1548119246854, 3202.8353234859637, 3333.644906448923, 3464.460588605819  …  4436.691912494659, 4436.071639197636, 4435.457548034828, 4434.849537166554, 4434.247520718975, 4433.651413110157, 4433.061124183338, 4432.476569199722, 4431.89766279601, 4431.32432788954], Real[0.0, 98.31767533318768, 196.63535066637536, 294.953025999563, 393.2707013327507, 491.58837666593837, 589.906051999126, 688.2237273323137, 786.5414026655014, 884.8590779986891  …  18680.35831330566, 18778.675988638846, 18876.993663972033, 18975.311339305223, 19073.62901463841, 19171.946689971595, 19270.264365304785, 19368.58204063797, 19466.89971597116, 19565.217391304348], Real[0.0, 0.031903808442163284, 0.062277684795673145, 0.09265295312820346, 0.12605897241797712, 0.15643811370055924, 0.18681619472947614, 0.2202216564676862, 0.2506011733595147, 0.2809798998758703  …  0.7383707061041689, 0.7384285104024199, 0.7384857406425488, 0.7385424062711412, 0.7385985152353743, 0.7386540754616802, 0.7387090953066585, 0.7387635826197505, 0.7388175453119816, 0.7388709905210578])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# struct\n",
    "struct exp_data\n",
    "    t_exp_dp\n",
    "    dp_exp\n",
    "    t_exp_R\n",
    "    R_exp\n",
    "end\n",
    "exp_data1 = exp_data(t_exp_dp, dp_exp, t_exp_R, R_exp);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculating error values\n",
    "The optimizer needs to provide two different time series to the objective function: the first time series is for the recovery factor and the second one is for the pressure drops. There is no parameter that indicates the end of the first time series, but it can be easily inferred from the jump to zero. One other trick is to just supply the data inside the objective function and accept the time series as a dummy input variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "4.576103795950522"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "rel_perm_param [krw0, kro0, nw, no, swc, sor]\n",
    "\"\"\"\n",
    "function error_calc(rel_perm_param, exp_data, core_props, fluids, core_flood; w_p=1.0, w_R=1.0)\n",
    "    rel_perms = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "    wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "    dp_calc = Spline1D(wf_res.dp_time[:,1], wf_res.dp_time[:,2], k=1, bc=\"nearest\")\n",
    "    R_calc = Spline1D(wf_res.recovery_time[:,1], wf_res.recovery_time[:,2], k=1, bc=\"nearest\")\n",
    "    error_dp = abs.(dp_calc(exp_data.t_exp_dp) .- exp_data.dp_exp)\n",
    "#     println(error_dp)\n",
    "    error_R = abs.(R_calc(exp_data.t_exp_R) .- exp_data.R_exp)\n",
    "#     println(error_R)\n",
    "    error_dp_norm = w_p.*error_dp./exp_data.dp_exp\n",
    "    error_R_norm = w_R.*error_R./(exp_data.R_exp.+eps())\n",
    "    return error_R_norm, error_dp_norm\n",
    "end\n",
    "\n",
    "function value_calc(rel_perm_param, exp_data, core_props, fluids, core_flood)\n",
    "    rel_perms = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "    wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "    dp_calc = Spline1D(wf_res.dp_time[:,1], wf_res.dp_time[:,2], k=1, bc=\"nearest\")\n",
    "    R_calc = Spline1D(wf_res.recovery_time[:,1], wf_res.recovery_time[:,2], k=1, bc=\"nearest\")\n",
    "    return dp_calc(exp_data.t_exp_dp), R_calc(exp_data.t_exp_R)\n",
    "end\n",
    "\n",
    "function vis_error(rel_perm_param, exp_data, core_props, fluids, core_flood)\n",
    "    rel_perms = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "    wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "    figure()\n",
    "    plot(wf_res.dp_time[:,1], wf_res.dp_time[:,2],  exp_data.t_exp_dp, exp_data.dp_exp, \"o\")\n",
    "    xlabel(\"t [s]\")\n",
    "    ylabel(\"dp [Pa]\")\n",
    "    legend([\"Theoretical\", \"Experiment\"])\n",
    "    \n",
    "    figure()\n",
    "    plot(wf_res.recovery_time[:,1], wf_res.recovery_time[:,2], exp_data.t_exp_R, exp_data.R_exp, \"v\")\n",
    "    xlabel(\"t [s]\")\n",
    "    ylabel(\"R [-]\")\n",
    "    legend([\"Theoretical\", \"Experiment\"])\n",
    "    \n",
    "end\n",
    "\n",
    "function obj_lsq(t, rel_perm_param)\n",
    "    R_er, dp_er = error_calc(rel_perm_param, exp_data1, core_props, fluids, core_flood)\n",
    "    return [R_er; dp_er]\n",
    "end\n",
    "\n",
    "# test\n",
    "x_init = [0.109681, 0.201297, 3.96653, 3.0, 0.19, 0.262231]\n",
    "\n",
    "vis_error(x_init, exp_data1, core_props, fluids, core_flood)\n",
    "error_calc(x_init, exp_data1, core_props, fluids, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "fit = curve_fit(obj_lsq, xdata, ydata, p0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# define the objective function and gradients and weight factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "23\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1.0713534659832842"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# weight factors:\n",
    "w_p = ones(length(exp_data1.dp_exp))\n",
    "temp_val, ind_max = findmax(exp_data1.dp_exp)\n",
    "println(ind_max)\n",
    "w_p[ind_max-3:ind_max+3] .= 10\n",
    "w_p[end-10:end] .= 10\n",
    "w_p[1]=10\n",
    "w_R = ones(length(exp_data1.R_exp))\n",
    "w_R[20:25] .= 10\n",
    "w_R[end-3:end] .= 10\n",
    "\n",
    "\n",
    "function f(x)\n",
    "    f_val = 0.0\n",
    "    try\n",
    "        f_val = error_calc(x, exp_data1, core_props, fluids, core_flood, w_p = w_p, w_R = w_R)\n",
    "    catch\n",
    "        f_val = 100.0\n",
    "#         info(\"Objective function did not converge!\")\n",
    "    end\n",
    "    return f_val\n",
    "end\n",
    "\n",
    "    \n",
    "function g(x)\n",
    "    eps1 = 1e-3\n",
    "    f_val = f(x)\n",
    "    g_val = ones(length(x))\n",
    "    try\n",
    "        # g_val = Calculus.gradient(x -> error_calc(x, exp_data1, core_props, fluids, core_flood), x)\n",
    "        for j in eachindex(x)\n",
    "            x2 = copy(x)\n",
    "            x2[j]+=eps1\n",
    "            f_val2 = f(x2)\n",
    "            g_val[j] = (f_val2-f_val)/eps1\n",
    "        end\n",
    "    catch\n",
    "        g_val = ones(length(x))\n",
    "    end\n",
    "    return g_val\n",
    "end\n",
    "\n",
    "function obj_fun(param, grad)\n",
    "    if length(grad)>0\n",
    "      grad[:] = g(param)\n",
    "    end\n",
    "    \n",
    "    obj_fun_val = f(param)\n",
    "    if isnan(obj_fun_val) || isinf(obj_fun_val)\n",
    "        obj_fun_val = 100.0\n",
    "    end\n",
    "    return obj_fun_val\n",
    "end\n",
    "\n",
    "# test\n",
    "grad_x = zeros(6)\n",
    "obj_fun([1.0, 0.8, 3, 4, 0.2, 0.2], grad_x)\n",
    "\n",
    "f([1.0, 0.8, 2, 2, 0.1, 0.2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6-element Array{Float64,1}:\n",
       "  0.24796568682372566\n",
       "  0.41012431561071594\n",
       " -1.6544442529164982 \n",
       " -1.665444599678878  \n",
       " -1.8706704817250674 \n",
       "  1.8432281272295903 "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grad_x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "## algorithms\n",
    "# L: Local, G:global\n",
    "# D: derivative-based, N: non-derivative (search-based)\n",
    "\n",
    "# :LD_MMA\n",
    "# :LN_COBYLA\n",
    "# :LD_LBFGS\n",
    "# :GN_DIRECT\n",
    "# :GN_DIRECT_L\n",
    "# GN_CRS2_LM\n",
    "# G_MLSL_LDS\n",
    "# GD_STOGO\n",
    "# GN_ISRES\n",
    "# GN_ESCH\n",
    "# LN_NEWUOA_BOUND\n",
    "# LN_BOBYQA\n",
    "# LN_PRAXIS\n",
    "# LN_NELDERMEAD\n",
    "# LN_SBPLX\n",
    "# LD_SLSQP\n",
    "# LD_TNEWTON_PRECOND_RESTART\n",
    "# LD_TNEWTON_RESTART\n",
    "# LD_TNEWTON_PRECOND\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.01409400817359404, [0.3978714543738633, 0.9538120333900926, 2.8772028814937194, 1.8677706182694838, 0.12606550988980245, 0.2034362090288226], :FTOL_REACHED)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_init = [0.9, 0.8, 2.5, 2.5, 0.1, 0.1]\n",
    "x_lb = [0.1, 0.1, 1.5, 1.5, 0.05, 0.1]\n",
    "x_ub = [1.0, 1.0, 4.0, 4.0, core_flood.initial_water_saturation, 0.25]\n",
    "opt_alg=:LD_SLSQP\n",
    "opt1 = Opt(opt_alg, length(x_init)) # choose the algorithm\n",
    "lower_bounds!(opt1, x_lb)\n",
    "upper_bounds!(opt1, x_ub)\n",
    "ftol_rel!(opt1, 1e-15)\n",
    "ftol_abs!(opt1, 1e-15)\n",
    "\n",
    "min_objective!(opt1, obj_fun)\n",
    "(fObjOpt, paramOpt, flag) = optimize(opt1, x_init)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0.007544830494364934"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_init = paramOpt\n",
    "vis_error(x_init, exp_data1, core_props, fluids, core_flood)\n",
    "error_calc(x_init, exp_data1, core_props, fluids, core_flood)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.2.0",
   "language": "julia",
   "name": "julia-1.2"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.2.0"
  }
 },
 "nbformat": 4,
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}
